What is the Greatest Common Factor of 79664 and 79676?

Greatest common factor (GCF) of 79664 and 79676 is 4.

GCF(79664,79676) = 4

We will now calculate the prime factors of 79664 and 79676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79664 and 79676.

How to find the GCF of 79664 and 79676?

We will first find the prime factorization of 79664 and 79676. After we will calculate the factors of 79664 and 79676 and find the biggest common factor number .

Step-1: Prime Factorization of 79664

Prime factors of 79664 are 2, 13, 383. Prime factorization of 79664 in exponential form is:

79664 = 2⁴ × 13¹ × 383¹

Step-2: Prime Factorization of 79676

Prime factors of 79676 are 2, 19919. Prime factorization of 79676 in exponential form is:

79676 = 2² × 19919¹

Step-3: Factors of 79664

List of positive integer factors of 79664 that divides 79664 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 383, 766, 1532, 3064, 4979, 6128, 9958, 19916, 39832

Step-4: Factors of 79676

List of positive integer factors of 79676 that divides 79664 without a remainder.

1, 2, 4, 19919, 39838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79664 and 79676. The biggest common factor number is the GCF number.
So the greatest common factor 79664 and 79676 is 4.

Also check out the Least Common Multiple of 79664 and 79676